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arxiv: 1011.1663 · v2 · pith:STRYBG3Xnew · submitted 2010-11-07 · 🧮 math.AC

An example of Melkersson subcategory which is not closed under injective hulls

classification 🧮 math.AC
keywords subcategorymelkerssonclosedhullsinjectivequestionserreunder
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The Melkersson subcategory is a special Serre subcategory. It was proved that a Serre subcategory which is closed under injective hulls is a Melkersson subcategory. However, it has been an open question whether the contrary implication holds. In this paper, we shall show that this question has a negative answer in general.

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